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Finding the Fourth Proportional to 70,753.54, 97,640.16 and 38,488.16

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Solution

The fourth proportional to 70,753.54, 97,640.16 and 38,488.16 is: 53,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,753.54 : 97,640.16 = 38,488.16 : x
  2. Step 2: Convert to fraction form
    70,753.54/97,640.16 = 38,488.16/x
  3. Step 3: Cross multiply
    70,753.54x = 97,640.16 × 38,488.16
  4. Step 4: Simplify right side
    70,753.54x = 3,757,990,100.51
  5. Step 5: Solve for x
    x = 3,757,990,100.51/70,753.54
  6. Step 6: Final answer
    x = 53,113.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.